The two- and three-dimensional spin-3/2 random Blume-Capel model by the position space renormalization group

► In the d=2 case, randomness, even weak, removes totally the first order transition. ► In the d=3 case, there is a critical probability pc separating 2 different behaviors. ► For a probability lower than pc, the first and second order transitions coexist. ► The first order transition line finishes by an end-point in the ordered phases. ► For a probability greater than pc, only the second order transitions appear.